The statement that best summarizes the Aztec Empire’s methods of rule is: "It was led by an emperor who represented a god, and each city-state within the empire had local rulers."
This reflects the structure of the Aztec political system, where the emperor held supreme authority and was seen as a divine figure, while local city-states (altepetl) were governed by local leaders who maintained a degree of autonomy under the overarching authority of the emperor.